% !TEX root = sga4.5.tex


@book {ar62,
  author    = {Artin, Michael},
  title     = {Grothendieck topologies},
  publisher = {Harvard University Dept. Math.},
  year      = {1962},
}

@article{bfm75,
  author   = {Baum, Paul and Fulton, William and MacPherson, Robert},
  title    = {Riemann-{R}och for singular varieties},
  journal  = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  fjournal = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
  number   = {45},
  year     = {75},
  pages    = {101--145}
}

@article {ba76,
      AUTHOR = {Bass, Hyman},
       TITLE = {Euler characteristics and characters of discrete groups},
     JOURNAL = {Invent. Math.},
    FJOURNAL = {Inventiones Mathematicae},
      VOLUME = {35},
        YEAR = {1976},
       PAGES = {155--196},
        ISSN = {0020-9910},
     MRCLASS = {20J05 (22E40)},
    MRNUMBER = {0432781 (55 \#5764)},
  MRREVIEWER = {Kenneth S. Brown},
}

@article{bo66,
  author   = {Bombieri, Enrico},
  title    = {On exponential sums in finite fields},
  journal  = {Amer. J. Math.},
  fjournal = {American Journal of Mathematics},
  volume   = {88},
  year     = {1966},
  pages    = {71--105}
}

@book{bo05,
  author    = {Bourbaki, Nicolas},
  title     = {Lie groups and {L}ie algebras. {C}hapters 7--9},
  series    = {Elements of mathematics},
  note      = {Translated from the 1975 and 1982 French originals by Andrew Pressley},
  publisher = {Springer-Verlag},
  address   = {Berlin},
  year      = {2005}

@article{ca69-2,
  author   = {Carlitz, L.},
  title    = {A note on exponential sums},
  journal  = {Pacific J. Math.},
  fjournal = {Pacific Journal of Mathematics},
  volume   = {30},
  year     = {1969},
  pages    = {35--37}
}

@article{ca69,
  author   = {Carlitz, L.},
  title    = {Kloosterman sums and finite field extensions},
  journal  = {Acta Arith.},
  fjournal = {Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica},
  volume   = {16},
  year     = {1969/1970},
  pages    = {179--193}
}

@incollection{de71-1,
  author    = {Deligne, Pierre},
  title     = {Th\'eorie de {H}odge. {I}},
  booktitle = {Actes du {C}ongr\`es {I}nternational des {M}ath\'ematiciens ({N}ice, 1970), {T}ome 1},
  pages     = {425--430},
  publisher = {Gauthier-Villars},
  address   = {Paris},
  year      = {1971}
}

@article{de71-2,
  author   = {Deligne, Pierre},
  title    = {Th\'eorie de {H}odge. {II}},
  journal  = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  fjournal = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
  number   = {40},
  year     = {1971},
  pages    = {5--57}
}

@incollection {de73,
  author    = {Deligne, Pierre},
  title     = {Les constantes des \'equations fonctionnelles des fonctions {$L$}},
  booktitle = {Modular functions of one variable, {II} ({P}roc. {I}nternat. {S}ummer {S}chool, {U}niv. {A}ntwerp, {A}ntwerp, 1972)},
  pages     = {501--597. Lecture Notes in Math., Vol. 349},
  publisher = {Springer},
  address   = {Berlin},
  year      = {1973}
}

@article{de74,
  author   = {Deligne, Pierre},
  title    = {La conjecture de {W}eil. {I}},
  journal  = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  fjournal = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
  number   = {43},
  year     = {1974},
  pages    = {273--307}
}

@article{dl76,
  author   = {Deligne, P. and Lusztig, G.},
  title    = {Representations of reductive groups over finite fields},
  journal  = {Ann. of Math. (2)},
  fjournal = {Annals of Mathematics. Second Series},
  volume   = {103},
  year     = {1976},
  number   = {1},
  pages    = {103--161}
}

@article{de80,
  author   = {Deligne, Pierre},
  title    = {La conjecture de {W}eil. {II}},
  journal  = {Inst. Hautes \'Etudes Sci. Publ. Math.},
  fjournal = {Institut des Hautes \'Etudes Scientifiques. Publications Math\'ematiques},
  number   = {52},
  year     = {1980},
  pages    = {137--252}
}

@article {do61,
      AUTHOR = {Dold, Albrecht and Puppe, Dieter},
       TITLE = {Homologie nicht-additiver {F}unktoren. {A}nwendungen},
     JOURNAL = {Ann. Inst. Fourier Grenoble},
    FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
      VOLUME = {11},
        YEAR = {1961},
       PAGES = {201--312},
        ISSN = {0373-0956},
     MRCLASS = {18.20},
    MRNUMBER = {0150183 (27 \#186)},
  MRREVIEWER = {P. J. Hilton},
}

@book {ega,
     AUTHOR = {Grothendieck, Alexandre},
      TITLE = {\'{E}l\'ements de g\'eom\'etrie alg\'ebrique},
  PUBLISHER = {Inst. Hautes \'Etudes Sci. Publ. Math.},
       YEAR = {1960-67},
}

@book{gz67,
  author    = {Gabriel, P. and Zisman, M.},
  title     = {Calculus of fractions and homotopy theory},
  series    = {Ergebnisse der Mathematik und ihrer Grenzgebiete},
  volume    = {35},
  publisher = {Springer-Verlag},
  address   = {New York},
  year      = {1967}
}

@incollection {gi64,
      AUTHOR = {Giraud, Jean},
       TITLE = {Analysis situs},
   BOOKTITLE = {S\'eminaire {B}ourbaki, 1962/63. {F}asc. 3, {N}o. 256},
       PAGES = {11},
   PUBLISHER = {Secr\'etariat math\'ematique},
     ADDRESS = {Paris},
        YEAR = {1964},
     MRCLASS = {18.20 (14.05)},
    MRNUMBER = {0193122 (33 \#1343)},
  MRREVIEWER = {H. Cartan},
}

@incollection {gr95,
    AUTHOR = {Grothendieck, Alexandre},
     TITLE = {Formule de {L}efschetz et rationalit\'e des fonctions {$L$}},
 BOOKTITLE = {S\'eminaire {B}ourbaki, {V}ol.\ 9},
     PAGES = {Exp.\ No.\ 279, 41--55},
 PUBLISHER = {Soc. Math. France},
   ADDRESS = {Paris},
      YEAR = {1995},
   MRCLASS = {14G10},
  MRNUMBER = {1608788},
}

@article{ka77,
  author   = {Kazhdan, D.},
  title    = {Proof of {S}pringer's hypothesis},
  journal  = {Israel J. Math.},
  fjournal = {Israel Journal of Mathematics},
  volume   = {28},
  year     = {1977},
  number   = {4},
  pages    = {272--286}
}

@book{la83,
     AUTHOR = {Lang, Serge},
      TITLE = {Abelian varieties},
       NOTE = {Reprint of the 1959 original},
  PUBLISHER = {Springer-Verlag},
    ADDRESS = {New York},
       YEAR = {1983},
      PAGES = {xii+256},
       ISBN = {0-387-90875-7},
    MRCLASS = {14Kxx},
   MRNUMBER = {713430 (84g:14041)},
}

@article{lu76,
  author   = {Lusztig, G.},
  title    = {Coxeter orbits and eigenspaces of {F}robenius},
  journal  = {Invent. Math.},
  fjournal = {Inventiones Mathematicae},
  volume   = {38},
  year     = {1976/77},
  number   = {2},
  pages    = {101--159}
}

@inproceedings{mo73,
  author    = {Mordell, L. J.},
  title     = {Some exponential sums},
  booktitle = {Proceedings of the {I}nternational {C}onference on {N}umber {T}heory ({M}oscow, 1971)},
  journal   = {Trudy Mat. Inst. Steklov.},
  fjournal  = {Akademiya Nauk SSSR. Trudy Matematicheskogo Instituta imeni V. A. Steklova},
  volume    = {132},
  year      = {1973},
  pages     = {30--34, 264}
}

@book {ra70,
    AUTHOR = {Raynaud, Michel},
     TITLE = {Anneaux locaux hens\'eliens},
    SERIES = {Lecture Notes in Mathematics, Vol. 169},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1970},
     PAGES = {v+129},
   MRCLASS = {13.95},
  MRNUMBER = {0277519 (43 \#3252)},
MRREVIEWER = {J.-P. Lafon},
}

@incollection{sc72,
  author    = {Schiffmann, G\'erard},
  title     = {Th\'eorie \'el\'ementaire des cat\'egories},
  year      = {1972},
  booktitle = {S\'eminaire Banach},
  volume    = {277},
  series    = {Lecture Notes in Mathematics},
  editor    = {Houzel, C.},
  publisher = {Springer},
  address   = {Berlin},
  pages     = {1--33}
}

@article {se55,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {G\'eom\'etrie alg\'ebrique et g\'eom\'etrie analytique},
   JOURNAL = {Ann. Inst. Fourier, Grenoble},
  FJOURNAL = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
    VOLUME = {6},
      YEAR = {1955--1956},
     PAGES = {1--42},
      ISSN = {0373-0956},
   MRCLASS = {53.3X},
  MRNUMBER = {0082175 (18,511a)},
MRREVIEWER = {H. Cartan},
}

@book {se59,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Groupes alg\'ebriques et corps de classes},
 PUBLISHER = {Publications de l'institut de math\'ematique de l'universit\'e
              de Nancago, VII. Hermann, Paris},
      YEAR = {1959},
     PAGES = {202},
   MRCLASS = {14.00},
  MRNUMBER = {0103191 (21 \#1973)},
MRREVIEWER = {M. Nagata},
}

@book{se68,
  author    = {Serre, Jean-Pierre},
  title     = {Abelian {$\ell$}-adic representations and elliptic curves},
  series    = {McGill University lecture notes},
  publisher = {W. A. Benjamin, Inc.},
  year      = {1968},
  address   = {New York-Amsterdam}
}

@book {se94,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Cohomologie galoisienne},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {5},
   EDITION = {Fifth},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1994},
     PAGES = {x+181},
      ISBN = {3-540-58002-6},
   MRCLASS = {12G05 (11R34)},
  MRNUMBER = {1324577 (96b:12010)},
}

@article{sp77,
  author   = {Sperber, S.},
  title    = {{$p$}-adic hypergeometric functions and their cohomology},
  journal  = {Duke Math. J.},
  fjournal = {Duke Mathematical Journal},
  volume   = {44},
  year     = {1977},
  number   = {3},
  pages    = {535--589}
}

@article{sp76,
  author   = {Springer, T. A.},
  title    = {Trigonometric sums, {G}reen functions of finite groups and representations of {W}eyl groups},
  journal  = {Invent. Math.},
  fjournal = {Inventiones Mathematicae},
  volume   = {36},
  year     = {1976},
  pages    = {173--207}
}

@book {sga1,
     AUTHOR = {Grothendieck, Alexandre and Raynaud, Michele},
      TITLE = {Rev\^etements \'etales et groupe fondamentale ({SGA 1})},
  PUBLISHER = {Springer},
     SERIES = {Lecture Notes in Mathematics},
     VOLUME = {224},
       YEAR = {1971},
}

@book{sga2,
  author    = {Grothendieck, Alexandre and Raynaud, Michele},
  title     = {Cohomologie locale des faisceaux coh\'erents et th\'eor\`emes de {L}efschetz locaux et globaux ({SGA 2})},
  series    = {Documents Math\'ematiques (Paris), 4},
  note      = {S{\'e}minaire de G{\'e}om{\'e}trie Alg{\'e}brique du Bois Marie, 1962, Augment{\'e} d'un expos{\'e} de Mich{\`e}le Raynaud, With a preface and edited by Yves Laszlo, Revised reprint of the 1968 French original},
  publisher = {Soci\'et\'e Math\'ematique de France},
  address   = {Paris},
  year      = {2005}
}

@book {sga4,
     AUTHOR = {Artin, Michael and Grothendieck, Alexandre and Verdier, Jean-Louis},
      TITLE = {Th\'eorie des topos et cohomologie \'etale des sch\'emas ({SGA 4})},
  PUBLISHER = {Springer},
     SERIES = {Lecture Notes in Mathematics},
     VOLUME = {269, 270, 305},
       YEAR = {1972},
}

@book {sga5,
     AUTHOR = {Grothendieck, Alexandre},
      TITLE = {Cohomologie {$\ell$}-adique et fonctions {$L$} ({SGA 5})},
  PUBLISHER = {Springer},
     SERIES = {Lecture Notes in Mathematics},
     VOLUME = {589},
       YEAR = {1965-66},
}

@book{sga6,
  author    = {Berthelot, Pierre and Grothendieck, Alexandre and Illusie, Luc},
  title     = {Th\'eorie des intersections et th\'eor\`eme de {R}iemann-{R}och ({SGA} 6)},
  publisher = {Springer-Verlag},
  series    = {Lectures Notes in Mathematics},
  volume    = {225},
  year      = {1971}
}

@book {sga7,
    AUTHOR = {Deligne, Pierre and Grothendieck, Alexandre and Katz, Nicholas},
     TITLE = {Groupes de monodromie en g\'eom\'etrie alg\'ebrique ({SGA 7})},
 PUBLISHER = {Springer},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {288, 340},
      YEAR = {1972-73},
}

@incollection{ra65,
  author    = {Raynaud, Michel},
  title     = {Caract\'eristique d'{E}uler-{P}oincar\'e d'une faisceau et cohomologie des vari\'et\'es ab\'eliennes},
  booktitle = {S\'eminaire {B}ourbaki. {V}ol.\ 9},
  pages     = {129--147},
  volume    = {Exp.\ No.\ 286},
  publisher = {Soc. Math. France},
  address   = {Paris},
  year      = {1965}
}

@article{se61,
  author   = {Serre, Jean-Pierre},
  title    = {Sur les corps locaux \`a corps r\'esiduel alg\'ebriquement clos},
  journal  = {Bull. Soc. Math. France},
  fjournal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
  volume   = {89},
  year     = {1961},
  pages    = {105--154}
}

@article{sm70,
  author   = {Smith, R. A.},
  title    = {The distribution of rational points on hypersurfaces defined over a finite field},
  journal  = {Mathematika},
  fjournal = {Mathematika. A Journal of Pure and Applied Mathematics},
  volume   = {17},
  year     = {1970},
  pages    = {328--332}
}

@incollection {ve67,
    AUTHOR = {Verdier, Jean-Louis},
     TITLE = {The {L}efschetz fixed point formula in etale cohomology},
 BOOKTITLE = {Proc. {C}onf. {L}ocal {F}ields ({D}riebergen, 1966)},
     PAGES = {199--214},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {1967},
   MRCLASS = {14.55},
  MRNUMBER = {0242846 (39 \#4173)},
MRREVIEWER = {F. Gherardelli},
}

@book {we48,
    AUTHOR = {Weil, Andr{\'e}},
     TITLE = {Vari\'et\'es ab\'eliennes et courbes alg\'ebriques},
    SERIES = {Actualit\'es Sci. Ind., no. 1064 = Publ. Inst. Math. Univ.
              Strasbourg 8 (1946)},
 PUBLISHER = {Hermann \& Cie., Paris},
      YEAR = {1948},
     PAGES = {165},
   MRCLASS = {14.0X},
  MRNUMBER = {0029522 (10,621d)},
MRREVIEWER = {O. F. G. Schilling},
}

@article{we52,
  author   = {Weil, Andr{\'e}},
  title    = {Jacobi sums as ``{G}r\"ossencharaktere''},
  journal  = {Trans. Amer. Math. Soc.},
  fjournal = {Transactions of the American mathematical Society},
  volume   = {73},
  year     = {1952},
  pages    = {487--495}
}

@book{we74,
  author    = {Weil, Andr{\'e}},
  title     = {Basic number theory},
  edition   = {Third},
  note      = {Die Grundlehren der Mathematischen Wissenschaften, Band 144},
  publisher = {1974},
  address   = {New York},
  year      = {1974}
}

@article{we74-2,
  author   = {Weil, Andr{\'e}},
  title    = {Sommes de {J}acobi et caract\`eres de {H}ecke},
  journal  = {Nachr. Akad. Wiss. G\"ottingen Math.-Phys. Kl. II},
  fjournal = {Nachrichten der Akademie der Wissenschaften in G\"ottingen. II. Mathematisch-Physikalische Klasse},
  year     = {1974},
  number   = {1},
  pages    = {1--14}
}

